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Finding the Third Proportional to 57,666,068 and 126,285,724

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Solution

The third proportional to 57,666,068 and 126,285,724 is: 276,559,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666,068 : 126,285,724 = 126,285,724 : x
  2. Step 2: Convert to fraction form
    57,666,068/126,285,724 = 126,285,724/x
  3. Step 3: Cross multiply
    57,666,068x = 126,285,724 × 126,285,724
  4. Step 4: Simplify right side
    57,666,068x = 15,948,084,086,204,176
  5. Step 5: Solve for x
    x = 15,948,084,086,204,176/57,666,068
  6. Step 6: Final answer
    x = 276,559,242.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.